Chapter 4, Problem 158P

Determine the magnitude of the equivalent resultant force of the distributed loading and specify its location on the beam measured from point A. A 4.5 ft 2 kip/ft 6 ft 1.5 kip/ft

The diagram shows the distributed loading profile on a vertical surface. Replace the distributed load by a single force and determine its location along the surface with respect to point O. Q4 3 m 7.5 kN/m 3 m 4.5 m 20 kN/m

Three distributed loads act on a beam as shown. The load between A and B increases linearly from 0 to a maximum intensity of w₁ = 14 lb/ft at point B. The load then varies linearly with a different slope to an intensity of w₂ = 18.6 lb/ft at C. The load intensity in section CD of the beam is constant at W3 11.2 lb/ft. For each load region, determine the resultant force and the location of its line of action (distance to the right of A for all cases). = BY NC SA 2016 Eric Davishahl W1 -a- B -b- W2 W3 Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 7.60 ft b 14.4 ft C 7.60 ft The resultant load in region AB is FR1 = 53.2 2.53 lb and acts ☑ ft to the right of A. The resultant load in region BC is FR2 234 12.4 lb and acts = ☑ ft to the right of A. The resultant load in region CD is FR3 = 85.1 lb and acts 16.2 ☑ ft to the right of A.